105801534 has 24 divisors (see below), whose sum is σ = 230396400. Its totient is φ = 35088768.

The previous prime is 105801533. The next prime is 105801547. The reversal of 105801534 is 435108501.

It is a super-2 number, since 2×105801534² = 22387929193506312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105801498 and 105801507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105801533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11187 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (9599850).

Almost surely, 2^105801534 is an apocalyptic number.

105801534 is an abundant number, since it is smaller than the sum of its proper divisors (124594866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105801534 is a wasteful number, since it uses less digits than its factorization.

105801534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29744 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105801534 is about 10285.9872642348. The cubic root of 105801534 is about 472.9667982780.

The spelling of 105801534 in words is "one hundred five million, eight hundred one thousand, five hundred thirty-four".